Question

2. A block of wood measures 8.0 in high, 2.0 in wide, and 1.5 in deep.

(c.) Calculate the volume of the block of wood in units of in"3.
(d.) Calculate the dimensions of the block of wood in units of cm.
(e.) Calculate the volume of the block of wood in units of cm"3.
(f.) used the volume that you obtained for the volume of the block of wood to calculate the mass of the block of wood. the density of the wood is 0.85 g/cm3 ​

Answer 1

c) 24 in^3
d) 20.32 cm high, 5.08 cm wide, 3.81 cm deep
e) 393.29 cm^3
f) 334.3 grams

Step-by-step explanation:

This is more math than chem, but here's the answer:
c)
to calculate the volume of a rectangular prism, use the formula:
V = h * w * l or V = h * w * d
V = 8 * 2 * 1.5 = 24 in^3

d)
to calculate the lengths in cm, just multiply each value by 2.54 with units of cm/in
For example:
8 in * 2.54 cm / in = 8*2.54 * cm * in/in = 8*2.54 cm * 1 = 20.32 cm
similarly, 1.5 in = 1.5 * 2.54 cm = 3.81 cm
and 2 in = 2 * 2.54 cm = 5.08 cm

e)
use the formula V = h * w * d = 20.32* 3.81 * 5.08 equals about 393.29 cm^3
another method is to simply multiply 24 by 2.54^3 (why this works is left as an exercise to the reader.)

f)
use the formula mass = density * volume
mass = 0.85 * 393.29 = 334.3 grams